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klasskru [66]
3 years ago
6

10 < 0.25 ( x + 1 ) < 11

Mathematics
1 answer:
AURORKA [14]3 years ago
6 0
10 <0.25 (x + 1) <11
 
We must solve two inequalities in this case.
 Inequality 1:
 
10 <0.25 (x + 1)
 10 / 0.25 <x + 1
 40 <x + 1
 40-1 <x
 39 <x
 Inequality 2:
 
0.25 (x + 1) <11
 (x + 1) <11 / 0.25
 (x + 1) <44
 x <44-1
 x <43
 The final result is:
 39 <x <43
 Answer:
 
39 <x <43
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<h3>What is coefficient of determination?</h3>

The percentage of the variation in the dependent variable that can be predicted from the independent variable is known as the coefficient of determination, abbreviated R2 or r2, in statistics.

<h3>How to find the variance for the y scores?</h3>

given that

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80.

now we have to find the variance for the y scores.

here, r=0.80 then {r}^{2}  = 0.64

which means 0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

r =  \sqrt{ {r}^{2}} \: or \:  \sqrt{ {r}^{2}} \\ 0.80 =  \sqrt{ {0.80}^{2} }   \\ 0.80 = 0.80

Learn more about coefficient of determination,refer:

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